General implementation of arbitrary nonlinear quadrature phase gates

TL;DR

This paper introduces a measurement-based method for implementing arbitrary nonlinear quadrature phase gates in continuous variable quantum systems, enabling more efficient quantum manipulation.

Contribution

It presents a general, deterministic approach to realize nonlinear quadrature interactions without constructing them from basic gates, using linear coupling and quadrature measurements.

Findings

Enables direct realization of nonlinear quadrature interactions

Does not require building from lowest-order gates

Improves practicality of quantum manipulation

Abstract

We propose general methodology of deterministic single-mode quantum interaction nonlinearly modifying single quadrature variable of a continuous variable system. The methodology is based on linear coupling of the system to ancillary systems subsequently measured by quadrature detectors. The nonlinear interaction is obtained by using the data from the quadrature detection for dynamical manipulation of the coupling parameters. This measurement-induced methodology enables direct realization of arbitrary nonlinear quadrature interactions without the need to construct them from the lowest-order gates. Such nonlinear interactions are crucial for more practical and efficient manipulation of continuous quadrature variables as well as qubits encoded in continuous variable systems.